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Questions and Answers
What is the first step in adding or subtracting mixed numbers?
Convert both mixed numbers to improper fractions.
What is the common denominator for the fractions 9/4 and 7/4?
4
What is the result of adding 2 1/4 and 1 3/4?
4
How do you convert a mixed number to an improper fraction?
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What is the improper fraction equivalent to 2 1/3?
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How do you convert an improper fraction to a mixed number?
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What is the mixed number equivalent to 7/3?
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Study Notes
Adding and Subtracting Mixed Numbers
- To add or subtract mixed numbers, follow these steps:
- Convert both mixed numbers to improper fractions.
- Find a common denominator for the two fractions.
- Add or subtract the fractions.
- Simplify the result, if possible.
Example: Add 2 1/4 and 1 3/4 * Convert to improper fractions: 9/4 and 7/4 * Find a common denominator: 4 * Add fractions: 9/4 + 7/4 = 16/4 * Simplify: 4
Converting Between Mixed and Improper Fractions
Converting Mixed Numbers to Improper Fractions
- Multiply the whole number part by the denominator.
- Add the numerator to the product.
- Write the result over the original denominator.
Example: Convert 2 1/3 to an improper fraction * Multiply whole number part by denominator: 2 × 3 = 6 * Add numerator: 6 + 1 = 7 * Write as improper fraction: 7/3
Converting Improper Fractions to Mixed Numbers
- Divide the numerator by the denominator.
- Write the quotient as the whole number part.
- Write the remainder as the new numerator over the original denominator.
Example: Convert 7/3 to a mixed number * Divide numerator by denominator: 7 ÷ 3 = 2 with a remainder of 1 * Write as mixed number: 2 1/3
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Description
Learn how to add and subtract mixed numbers, and convert between mixed and improper fractions. Practice with examples and master fractions operations!
